# What fraction of a given sample of a radioactive nuclide remains after four half-lives?

##### 1 Answer

Jun 25, 2016

It is

#### Explanation:

At the beginning you have that the number of atoms is

After the first half lives you have

After the second half life you have

As you can see, after each lifetime you divide by two the original population, then after four times you divide four times for

So the final population